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Elementary Concepts and Tools

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Micromechanics of Composite Materials

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 186))

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Abstract

This chapter provides a brief introduction to micromechanics. Following an overview of several descriptors of microstructural geometry is an outline of the procedures that predict overall response of a heterogeneous aggregate in terms of phase volume averages of local strain or stress fields. Applied loads include uniform overall strain or stress and a piecewise uniform distribution of eigenstrains or transformation strains in the phases. Derivations of theorems, formulae and connections that will frequently be used in subsequent chapters are presented in Sects. 3.7, 3.8 and 3.9. A summary of the overall and local response estimates appears in the concluding Sect. 3.10. Many symbols used in this and following chapters are summarized in Table 2.5.

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Authors and Affiliations

  1. Mechanical, Aeronautical and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA

    George J. Dvorak

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  1. George J. Dvorak
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Dvorak, G.J. (2013). Elementary Concepts and Tools. In: Micromechanics of Composite Materials. Solid Mechanics and Its Applications, vol 186. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4101-0_3

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  • DOI: https://doi.org/10.1007/978-94-007-4101-0_3

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-4100-3

  • Online ISBN: 978-94-007-4101-0

  • eBook Packages: EngineeringEngineering (R0)

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